Square root of 448
The square root of 448 is 21.16601 (rounded to 6 decimal places). In simplest radical form it is 8ā7.
Square root of 448
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 448 is the number that multiplied by itself gives 448.
- 2
448 is between the perfect squares 21Ā² = 441 and 22Ā² = 484, so its square root is between 21 and 22.
- 3
Pull out the biggest square factor: 448 = 64 Ć 7, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{448} = 8\sqrt{7} \approx 21.16601 \]
\[ \sqrt{448} = \sqrt{64 \times 7} = 8\sqrt{7} \]
\[ \sqrt{448} \approx 21.16601 \]Squares around 448
| Number | Squared |
|---|---|
| 20 | 400 |
| 21 | 441 |
| 22 | 484 |
| 23 | 529 |
Questions
What is the square root of 448?
The square root of 448 is 21.16601 (rounded to 6 decimal places). In simplest radical form it is 8ā7.
Is 448 a perfect square?
No. It lies between 21Ā² = 441 and 22Ā² = 484.
What is 448 squared?
448 Ć 448 = 200704.
What is the square root of 448 rounded to 2 decimals?
21.17.